90145491345 has 72 divisors (see below), whose sum is σ = 195744557736. Its totient is φ = 38039404032.

The previous prime is 90145491329. The next prime is 90145491353. The reversal of 90145491345 is 54319454109.

90145491345 is a `hidden beast` number, since 90 + 1 + 4 + 549 + 13 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5380662609 + 84764828736 = 73353^2 + 291144^2 .

It is not a de Polignac number, because 90145491345 - 2⁴ = 90145491329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90145491345.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1543732 + ... + 1601061.

It is an arithmetic number, because the mean of its divisors is an integer number (2718674413).

Almost surely, 2^90145491345 is an apocalyptic number.

It is an amenable number.

90145491345 is an abundant number, since it is smaller than the sum of its proper divisors (105599066391).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90145491345 is a wasteful number, since it uses less digits than its factorization.

90145491345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144831 (or 3144821 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 90145491345 in words is "ninety billion, one hundred forty-five million, four hundred ninety-one thousand, three hundred forty-five".